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Book III   Proposition 8
Let ABC be a circle, and let a point D be taken outside ABC; let there be drawn throught from it straight lines DA, DE, DF, DC, and let DA be through the center;

I say that, of the straight lines falling on the concave circumference AEFC, the straight line DA through the center is greatest, while DE is greater than DF and DF than DC;

but, of the straight lines falling on the convex circumference HLKG, the straight line DG is least; and the nearer to the least DG is always less than the more remote, namely DK than DL, and DL than DH.
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